New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies
E. Ivanov, S. Krivonos
Abstract
We construct a new variety of N=2 supersymmetric integrable systems by junction of pseudo-differential superspace Lax operators for a=4, N=2 KdV and multi-component N=2 NLS hierarchies. As an important particular case, we obtain Lax operator for N=4 super KdV system. A similar extension of one of N=2 super Boussinesq hierarchies is given. We also present a minimal N=4 supersymmetric extension of the second flow of N=4 KdV hierarchy and comment on its possible integrability.
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